1. The actual width of the drawing is 30 feet, and it is represented with a width of 6 inches on the canvas. To find the scale factor, divide the actual width by the canvas width: 30 feet ÷ 6 inches = 5 feet per inch. So, the scale factor is 1 inch : 5 feet.
2. The actual distance between the two rooms is 12 meters, and the distance on the map is 3 cm. To find the scale factor, divide the actual distance by the map distance: 12 meters ÷ 3 cm = 4 meters per cm. So, the scale factor is 1 cm : 4 meters.
3. The height of the dinosaur is 12 meters, and the model is 0.2 meters tall. To find the scale factor, divide the actual height by the model height: 12 meters ÷ 0.2 meters = 60. So, the scale factor is 1 : 60.
4. The actual width of the house is 24 meters, and the blueprint width is 2.4 inches. To find the scale factor, divide the actual width by the blueprint width: 24 meters ÷ 2.4 inches = 10 meters per inch. So, the scale factor is 1 inch : 10 meters.
5. The actual length of the statue is 115 feet, and the scale factor is 1 foot : 20 feet. To find the model length, divide the actual length by the scale factor: 115 feet ÷ 20 = 5.75 feet. So, the length of the model is 5.75 feet.
Parent Tip: Review the logic above to help your child master the concept of scale factor word problems worksheet.